The Triangle Lectures in Combinatorics is a one-day conference, held once per semester on a Saturday, at various universities in North Carolina each semester since 2010. Each one-day conference consists of four talks by leading researchers in combinatorics and related fields. Participants come from numerous colleges and universities within a few hours' drive, and some from even farther away. These workshops are funded by the National Science Foundation, enabling us to bring in exciting speakers as well as funding travel expenses for participants.
TLC steering committee: Laura Colmenarejo (NC State), Sean English (UNC Wilmington), Gabor Pataki (UNC Chapel Hill), Clifford Smyth (UNC Greensboro), and Fan Wei (Duke University)
Past Steering Committee Members: Patricia Hersh (currently at U Oregon), Ricky Liu (currently at U Washington), Ezra Miller (Duke University), Nathan Reading (NC State). This list is not complete, and will be updated soon!
Organizing Committee: Laura Colmenarejo (NC State), Jaehyuk Kwon (UNC Chapel Hill), Ali Mohammad Nezhad (UNC Chapel Hill), Gabor Pataki (UNC Chapel Hill), and Fan Wei (Duke University)
Amir Ali Ahmadi (Princeton)
Saugata Basu (Purdue University)
Evita Nestoridi (Stony Brook)
Huy Pham (Caltech)
Location
Registration and Funding
Please, fill out this Google Form, to register for the conference and to request funding. Registration is free and funding is provided by NSF. If you have any questions, feel free to email any of the organizers.
We are asking that participants pre-register, if possible, as it is very helpful for planning our coffee breaks and obtaining funding to support these events.
Poster session
Please, fill out this Google Form if you are interested in presenting a poster during the conference. The deadline is September 14, 2026.
Note that only junior researchers (students, postdocs, and tenure-track faculty) will present during the conference. Senior faculty should encourage their students and more junior colleagues to apply. For students, the poster they present must be on joint research with their advisor or a more senior researcher, and their name must appear as one of the authors.
Parking Information: Information about parking will be provided before September 26 to those that are registered by September 24.
09:00 - 10:00am Welcome
10:00 - 11:00am
11:00 - 11:30am Coffee break
11:30 - 12:30pm
12:30 - 2:30pm Lunch break
02:30 - 3:30pm
03:30 - 4:00pm Coffee break
04:00 - 5:00pm
5:00 - 5:30pm Poster Session
A central question in Markov chain mixing is the occurrence of cutoff, a phenomenon according to which a Markov chain converges abruptly to its stationary measure. The focus of this talk is the limit profile of a Markov chain that exhibits cutoff, which captures the exact shape of the distance of the Markov chain from stationarity. We will discuss techniques for determining the limit profile and establishing its continuity properties under appropriate conditions.